...or a game with a larger map size!

My prime example for discussing ideas like a new commodity or increasing map size (needn't necessarily apply here, but is worth a thought) would be chess:
Does
a) increasing the chessboard size or
b) introducing new pieces would make chess any more fun/exciting?
What could a larger map size bring to the game?
How would it affect gameplay and force other parts of the game to adapt as well?